Niven Achenjang

activity

20182024

collaborators

4 papers

math.AG2024

On Brauer groups of tame stacks

Niven Achenjang

We develop some general tools for computing the Brauer group of a tame algebraic stack $X$ by studying the difference between it and the Brauer group of the coarse space $…

math.AG2023

The Brauer Group of $Y_{0} (2)$

Niven Achenjang, Deewang Bhamidipati, Aashraya Jha +2

We determine the Brauer group of the Deligne-Mumford stack $Y_{0} (2)$ , the moduli space of elliptic curves with a marked $2$ -torsion subgroup over bases of arithmetic inter…

math.NT2023

The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2

Niven Achenjang

Let $K$ be the function field of a smooth curve $B$ over a finite field $k$ of arbitrary characteristic. We prove that the average size of the $2$ -Selmer groups of elliptic curves…

math.NT2018

On Gaps in the Closures of Images of Divisor Functions

Niven Achenjang, Aaron Berger

Given a complex number $c$ , define the divisor function $σ_{c} : N \to C$ by $σ_{c} (n) = \sum_{d ∣ n} d^{c}$ . In this paper, we look at $σ_{- r} (N)$ , the top…

On Brauer groups of tame stacks

The Brauer Group of Y0​(2)

The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2

On Gaps in the Closures of Images of Divisor Functions

The Brauer Group of $Y_{0} (2)$